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ololo11 [35]
2 years ago
13

Circle O has a radius of 5 centimeters and central angleAOB with a measure of 60°.

Mathematics
1 answer:
Mice21 [21]2 years ago
4 0

The arc length can be found using the formula, ∅ × r, which is: (5π)/3.

<h3>What is the Arc Length?</h3>

Arc length = ∅ × r, where ∅ is the central angle in radians, and r is the radius of the circle.

Given the following:

  • ∅ = 60° = 60° × π/180 (in radians)
  • r = 5 cm

Length of the arc = 60° × π/180 × 5 = (60 × π × 5)/180

Length of the arc = (300π)/180 = (5π)/3

Learn more about arc length on:

brainly.com/question/2005046

#SPJ1

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This is the two that go together, but are separate questions
ira [324]

Answers:

Option 1)

6a + 8s = 102

14a + 4s = 150

each adult ticket costs 9 dollars

===================================================

Explanation:

6 adult tickets and 8 student tickets bring in $102, so that means 6a+8s = 102

14 adult tickets and 4 students tickets bring in $150, so 14a+4s = 150

The system of equations is

\begin{cases}6a+8s = 102\\14a+4s = 150\end{cases}

If we multiply both sides of the second equation by -2, we get this updated system

\begin{cases}6a+8s = 102\\-28a-8s = -300\end{cases}

Add the equations straight down

6a+(-28a) = -22a

8s+(-8s) = 0s = 0 ... the 's' terms go away

102+(-300) = -198

So we end up with the equation -22a = -198 and that solves to a = 9 after dividing both sides by -22.

Each adult ticket costs $9

If you want the value of s, then

6a+8s = 102

6(9)+8s = 102

54 + 8s = 102

8s = 102-54

8s = 48

s = 48/8

s = 6

Meaning each student ticket costs $6

Or you could use the other equation

14a+4s = 150

14(9)+4s = 150

126+4s = 150

4s = 150-126

4s = 24

s = 24/4

s = 6

We get the same value of s

5 0
2 years ago
Could you help me pleas
tia_tia [17]
21 for 3 and 10 for 70
8 0
2 years ago
Read 2 more answers
Henry was able to help 4 out of 9 of students that requested help in the math lab and Michelle helped 45% of the total students
WARRIOR [948]
For Henry: 4 out of 9 is equal to 4 divided by 9. That gives you approximately 0.444. Multiply that by 100 to get the percentage and you get 44.4%.

Henry: 44.4%
Michelle 45%

MICHELLE HELPED MORE STUDENTS
4 0
3 years ago
A phone company offers two monthly plans. Plan A costs $12 plus an additional $0.16 for each minute of calls. Plan B costs $29 p
lora16 [44]

Answer:

  • 425 min
  • $80

Step-by-step explanation:

<u>The equation to reflect the monthly plans:</u>

  • Plan A f(x) = 0.16x + 12
  • Plan B g(x) = 0.12x + 29

<u>We need to find the value of x when f(x) = g(x):</u>

  • 0.16x + 12 = 0.12x + 29
  • 0.16x - 0.12x = 29 - 12
  • 0.04x = 17
  • x = 17/0.04
  • x = 425 minutes

<u>The cost is:</u>

  • $0.16*425 + $12 = $80
4 0
2 years ago
from the set {-512,-8,8} ,use substitution to determine which value of x makes the equation true -64x=-1,152
Llana [10]

Answer:

18

Step-by-step explanation:

Just divide both sides by - 64

6 0
3 years ago
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